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Two sound waves, originating from the sa...

Two sound waves, originating from the same source, travel along different paths in air and then meet at a point. If the source vibrates at a frequency of 1.0 kHz and one path is 83 cm longer than the other, what will be the nature of interference? The speed of sound in air is `332 ms^-1`.

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The wavelength of sound wave is `lamda=u/v`
`=(332ms^-1)/(1.0xx10^3Hz)=0.332m`.
The phase difference the waves arriving at the point of observation is
`delta=(2pi)/lamda /_\x=2pixx(0.83m)/(0.332m)=2pixx2.5=5pi`.
As this is an odd multiple of pi the waves interfers destructively.
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